5 ECTS; 1º Ano, 1º Semestre, 30,0 T + 30,0 PL + 15,0 OT , Cód. 20333.
Lecturer
- Cristina Maria Mendes Andrade (1)(2)
(1) Docente Responsável
(2) Docente que lecciona
Prerequisites
Not applicable
Objectives
1. Students will acquire knowledge in:
1.1. mathematical analysis
1.2. financial mathematics
1.3. linear algebra
2. will be provided with mathematical tools needed for problem-solving
3. will develop logical reasoning skills
Program
I - Mathematical Analysis
1. Basics of algebraic calculus
2. General considerations on real functions of a real variable
3. Differential calculus and its applications
4. Integral calculus and its applications
5. Basics of financial mathematics
II - Linear algebra
1. Basics of matrices and determinants
2. Algebra of matrices
3. Rouché theorem and linear equations systems resolution
Evaluation Methodology
Continuous assessment: T1 (0-10 val.) + T2 (0-10 val.) is mandatory and closed book. If the sum of T1+T2 yields a score between 7.5 and 9 (7.5 <= T1+T2 <= 9), students may also take a third test (0-3 val.). Any student who engages in cheating will be excluded from the assessment.
Assessment by examination: a written closed-book test marked out of 20 on all the material taught (pass: >=10). In both periods (continuous assessment and examinations), in the event of uncertainty, students may be called upon to take an oral examination (only one call in each period and compulsory). Failure to attend will result in a mark of 9 (nine).
Bibliography
- Ferreira, M. e Amaral, I. (2009). Exercícios de Primitivas e Integrais. Lisboa: Edições Sílabo
- Larson, R. e Edwards, B. e Hostetler, R. (2006). Cálculo. Brasil: McGraw Hil
- Manuel, F. (2016). Álgebra Linear, Matrizes e Determinantes. (Vol. 1). Lisboa: Edições Sílabo
- Ziegler, M. e Barnett, R. e Byleen, K. (2011). Calculus for Mathematics for Business, Economics, Life Sciences and Social Sciences. USA: Pearson Education
Teaching Method
Lectures are expository and the content is presented with a view to its application. PL classes are aimed at solving exercises using a participatory methodology as well as computational solving.
Software used in class
Geogebra
